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Finding the Fourth Proportional to 9,714.61, 13,410.72 and 6,357.55

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Solution

The fourth proportional to 9,714.61, 13,410.72 and 6,357.55 is: 8,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.61 : 13,410.72 = 6,357.55 : x
  2. Step 2: Convert to fraction form
    9,714.61/13,410.72 = 6,357.55/x
  3. Step 3: Cross multiply
    9,714.61x = 13,410.72 × 6,357.55
  4. Step 4: Simplify right side
    9,714.61x = 85,259,322.94
  5. Step 5: Solve for x
    x = 85,259,322.94/9,714.61
  6. Step 6: Final answer
    x = 8,776.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.